A large group of refugees from Central America are stopped in Tijuana, Mexico, hoping to cross the border into San Diego.

Now, there are questions about whether the migrants streaming in from Guatemala, Honduras, and El Salvador will get political asylum in the United States.

The group of migrants caught the attention of President Trump, who has issued orders to stop the caravan. The president has warned about letting them into the United States, calling the migrants a cast of opportunists using weak immigration laws to get across the border.

Human Rights First, a nonprofit international organization, said it is a violation of U.S. law for Customs and Border Patrol to refuse to process an asylum seeker at a port of entry. Tens of thousands of people seek protection in the U.S. each year from persecution in their home countries, according to the group.

"This is unusual in a sense, it's a bit hard to fathom that the U.S. government doesn't have the ability to process this group that is really not that large," said Human Rights First's Hardy Vieux, a lawyer observing the administration's response in Tijuana. "We're not sure what the hold-up is at this point."

Now, what started as a caravan of more than a thousand is dwindling, with no word from Border Patrol on when the new migrants will pass through.